TW201329485A - Wireless communication positioning method - Google Patents

Wireless communication positioning method Download PDF

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Publication number
TW201329485A
TW201329485A TW101100537A TW101100537A TW201329485A TW 201329485 A TW201329485 A TW 201329485A TW 101100537 A TW101100537 A TW 101100537A TW 101100537 A TW101100537 A TW 101100537A TW 201329485 A TW201329485 A TW 201329485A
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Taiwan
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mobile device
wireless communication
positioning method
base stations
communication positioning
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TW101100537A
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Chinese (zh)
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Chien-Sheng Chen
Yung-Chuan Lin
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Novatek Microelectronics Corp
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Priority to TW101100537A priority Critical patent/TW201329485A/en
Priority to US13/447,278 priority patent/US20130178235A1/en
Publication of TW201329485A publication Critical patent/TW201329485A/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W64/00Locating users or terminals or network equipment for network management purposes, e.g. mobility management
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S5/00Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations
    • G01S5/02Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations using radio waves
    • G01S5/12Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations using radio waves by co-ordinating position lines of different shape, e.g. hyperbolic, circular, elliptical or radial
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S5/00Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations
    • G01S5/02Position-fixing by co-ordinating two or more direction or position line determinations; Position-fixing by co-ordinating two or more distance determinations using radio waves
    • G01S5/14Determining absolute distances from a plurality of spaced points of known location

Abstract

A wireless communication positioning method is disclosed for obtaining an estimated position of a mobile device. The wireless communication positioning method includes obtaining an angle of arrival for the mobile device relative to one of the plurality of base stations and obtaining a line of arrival extended along the angle of arrival from the one of the base stations, obtaining a plurality of measured distances of the plurality of base stations relative to the mobile device and obtaining a plurality of measured circles corresponding to the plurality of measured distances, generating a plurality of position lines according to the plurality of measured circles, and calculating the estimated position of the mobile device according to the plurality of position lines and the line of arrival.

Description

無線通訊定位方法Wireless communication positioning method

本發明係指一種無線通訊定位方法,尤指一種用於獲得一行動裝置之估測位置的無線通訊定位方法。The present invention relates to a wireless communication positioning method, and more particularly to a wireless communication positioning method for obtaining an estimated position of a mobile device.

隨著無線通訊的發達,習知技術已提出許多無線定位演算法,用來估測一行動裝置之位置,包含藉由至少一基地台來量測行動裝置之抵達時間(time of arrival)、抵達角度(angle of arrival)、抵達訊號強度(signal strength)以及抵達時間差(time difference of arrival)等。再者,無線定位將受限於傳輸環境的影響,例如通道中的雜訊、多路徑傳輸、多重接收干擾及直線視距中的屏障,而且在無線訊號的傳輸過程中,難免會遭遇不必要之反射或繞射影響,無法準確地量測到行動裝置和基地台之間的直線視距(line of sight),換句話說,非視距環境將嚴重地影響無線定位演算法的精準度。With the development of wireless communication, the prior art has proposed a number of wireless positioning algorithms for estimating the location of a mobile device, including measuring the time of arrival of the mobile device by at least one base station, and arriving. Angle of arrival, signal strength, and time difference of arrival. Furthermore, wireless positioning will be limited by the effects of the transmission environment, such as noise in the channel, multipath transmission, multiple reception interference, and barriers in line-of-sight, and it will inevitably be encountered during the transmission of wireless signals. The reflection or diffraction effects do not accurately measure the line of sight between the mobile device and the base station. In other words, the non-line-of-sight environment will seriously affect the accuracy of the wireless positioning algorithm.

在習知技術中,已提供了透過複數個基地台分別量測對應於行動裝置一反饋訊號的抵達時間,用以形成複數個圓方程式,並將複數個圓方程式代入一泰勒級數演算法(Taylor series algorithm)來求解複數個圓方程式之交點。然而,這些交點係為非線性方程式,必須透過迭代法及佔用較長之運算時間,以估算行動裝置的估測位置,造成實際上運用的限制,浪費過多之運算時間及硬體資源。In the prior art, it has been provided to measure the arrival time corresponding to the feedback signal of the mobile device through a plurality of base stations, to form a plurality of circular equations, and to substitute a plurality of circular equations into a Taylor series algorithm ( Taylor series algorithm) to solve the intersection of a plurality of circular equations. However, these intersections are nonlinear equations, which must be used to estimate the estimated position of the mobile device through iterative methods and occupy a long computing time, resulting in practical limitations, wasting excessive computing time and hardware resources.

在此提供一種無線通訊定位方法,其適用於一無線通訊定位系統。透過有效降低運算上的複雜度,此方法可以減少運算時間及佔用的硬體資源,同時又能提高估測行動裝置之估測位置的精準度。A wireless communication positioning method is provided herein, which is applicable to a wireless communication positioning system. By effectively reducing the computational complexity, this method can reduce the computation time and the hardware resources used, and at the same time improve the accuracy of estimating the estimated position of the mobile device.

於一實施例中,揭露一種無線通訊定位方法,用來獲得一行動裝置之一估測位置,該無線通訊定位方法包含有獲得該行動裝置相對於複數個基地台當中之一基地台之一抵達角度,並獲得沿該抵達角度從該基地台延伸之一抵達線;獲得該行動裝置分別相對該複數個基地台之複數個量測距離,並獲得該複數個量測距離分別對應之複數個量測圓;根據該複數個量測圓,產生複數條位置線;以及根據該複數條位置線以及該抵達線,計算該行動裝置之該估測位置。In an embodiment, a wireless communication positioning method is disclosed for obtaining an estimated position of a mobile device, wherein the wireless communication positioning method includes obtaining the mobile device to arrive with one of a plurality of base stations. Angle, and obtaining an arrival line extending from the base station along the angle of arrival; obtaining a plurality of measurement distances of the mobile device relative to the plurality of base stations, and obtaining a plurality of quantities corresponding to the plurality of measurement distances respectively Measuring a circle; generating a plurality of position lines according to the plurality of measurement circles; and calculating the estimated position of the mobile device based on the plurality of position lines and the arrival line.

於另一實施例中,更揭露一種無線通訊定位方法,用來獲得一行動裝置之一估測位置。該無線通訊定位方法包含有:獲得一抵達線,該抵達線延伸通過複數個基地台當中之一基地台與該行動裝置;獲得該複數個基地台分別對應之複數個量測圓,其中該量測圓係依據該行動裝置分別相對該複數個基地台之複數個量測距離所產生;根據該複數個量測圓,產生複數條位置線;以及根據該複數條位置線以及該抵達線,計算該行動裝置之該估測位置。In another embodiment, a wireless communication positioning method is further disclosed for obtaining an estimated position of a mobile device. The wireless communication positioning method includes: obtaining an arrival line, the extension line extending through one of the plurality of base stations and the mobile device; obtaining a plurality of measurement circles respectively corresponding to the plurality of base stations, wherein the quantity The rounding system is generated according to the plurality of measuring distances of the mobile device relative to the plurality of base stations; generating, according to the plurality of measuring circles, a plurality of position lines; and calculating according to the plurality of position lines and the arrival line The estimated location of the mobile device.

請參考第1圖,第1A圖為本發明實施例一無線通訊定位系統10之示意圖。在本實施例中,無線通訊定位系統10包含三個基地台BS1、BS2、BS3,以及一行動裝置(未顯示)。基地台BS1、BS2、BS3為行動裝置附近的三個基地台,其中基地台BS1為離行動裝置最近之基地台,或是所謂的服務基地台(serving base station)。在此,為了方便說明僅以三個基地台作為舉例性,不同情況下亦可為七個或其他合適個數,如第1B圖所示,透過七個基地台BS1~BS7構成另一無線通訊定位系統12,非用以限制本發明之範疇。Please refer to FIG. 1 , which is a schematic diagram of a wireless communication positioning system 10 according to an embodiment of the present invention. In the present embodiment, the wireless communication positioning system 10 includes three base stations BS1, BS2, BS3, and a mobile device (not shown). The base stations BS1, BS2, and BS3 are three base stations in the vicinity of the mobile device, wherein the base station BS1 is the base station closest to the mobile device, or a so-called serving base station. Here, for convenience of description, only three base stations are exemplified, and in different cases, seven or other suitable numbers may be used. As shown in FIG. 1B, another wireless communication is formed through seven base stations BS1 to BS7. The positioning system 12 is not intended to limit the scope of the invention.

請參照第2圖,其顯示依據一實施例之無線通訊定位流程20,其可應用於第1A圖所示之無線通訊定位系統10中,用於獲得上述行動裝置之一估測位置。無線通訊定位流程20包含以下步驟:Referring to FIG. 2, there is shown a wireless communication positioning process 20 according to an embodiment, which can be applied to the wireless communication positioning system 10 shown in FIG. 1A for obtaining an estimated position of the mobile device. The wireless communication location process 20 includes the following steps:

步驟200:開始。Step 200: Start.

步驟202:獲得行動裝置相對於基地台BS1、BS2、BS3當中之一基地台BS1之一抵達角度θ,並獲得以抵達角度θ從基地台BS1延伸之一抵達線L1。Step 202: Obtain an arrival angle θ of the mobile device with respect to one of the base stations BS1 of the base stations BS1, BS2, BS3, and obtain an arrival line L1 extending from the base station BS1 by the arrival angle θ.

步驟204:獲得行動裝置分別相對基地台BS1、BS2、BS3之量測距離D1、D2、D3,並獲得量測距離D1、D2、D3分別對應之量測圓C1、C2、C3。Step 204: Obtain the measurement distances D1, D2, and D3 of the mobile device with respect to the base stations BS1, BS2, and BS3, respectively, and obtain the measurement circles C1, C2, and C3 corresponding to the measurement distances D1, D2, and D3, respectively.

步驟206:根據量測圓C1、C2、C3,產生位置線L12、L13、L23。Step 206: According to the measurement circles C1, C2, and C3, position lines L12, L13, and L23 are generated.

步驟208:根據位置線L12、L13、L23以及抵達線L1,計算行動裝置之估測位置。Step 208: Calculate the estimated position of the mobile device according to the position lines L12, L13, L23 and the arrival line L1.

步驟210:結束。Step 210: End.

詳細來說,於無線通訊定位流程20中,基地台BS1、BS2、BS3透過無線傳輸和行動裝置取得溝通來交換無線訊號。因此,此流程可由基地台BS1、BS2、BS3以及行動裝置合作進行。更具體而言,每一步驟可分別由行動裝置或基地台BS1、BS2、BS3之一者執行。或是每一步驟由基地台BS1、BS2、BS3計算部分資訊,再提供給行動裝置,行動裝置繼而可計算其他資訊。最後,行動裝置及/或基地台可再計算其估測位置。In detail, in the wireless communication positioning process 20, the base stations BS1, BS2, and BS3 exchange communication with the mobile device to exchange wireless signals. Therefore, this process can be performed by the base stations BS1, BS2, BS3 and the mobile device. More specifically, each step can be performed by one of the mobile devices or base stations BS1, BS2, BS3, respectively. Or, at each step, part of the information is calculated by the base stations BS1, BS2, and BS3, and then provided to the mobile device, and the mobile device can then calculate other information. Finally, the mobile device and/or the base station can recalculate its estimated location.

首先,於步驟202中,可先量測行動裝置與基地台BS1之間的抵達角度θ,再以基地台BS1為起點、抵達角度所對應之一斜率來從基地台BS1之兩側延伸,以形成抵達線L1。較佳地,此抵達角度θ之資訊可由基地台BS1計算並提供給行動裝置。行動裝置於獲得抵達角度θ後,繼而可計算出抵達線L1。或是,抵達角度θ與抵達線L1均由基地台BS1計算,並且基地台BS1提供抵達線L1給行動裝置。First, in step 202, the arrival angle θ between the mobile device and the base station BS1 may be measured first, and then the slope corresponding to the arrival angle of the base station BS1 is used to extend from both sides of the base station BS1. An arrival line L1 is formed. Preferably, the information of the arrival angle θ can be calculated by the base station BS1 and provided to the mobile device. After obtaining the arrival angle θ, the mobile device can then calculate the arrival line L1. Alternatively, the arrival angle θ and the arrival line L1 are both calculated by the base station BS1, and the base station BS1 provides the arrival line L1 to the mobile device.

於步驟204中,獲得該行動裝置分別相對三個基地台BS1、BS2、BS3之三個量測距離D1、D2、D3,並根據此三個量測距離D1、D2、D3,分別產生對應此三個基地台BS1、BS2、BS3之三個量測圓。具體言之,可首先分別獲得三個基地台BS1、BS2、BS3與行動裝置之間之無線訊號之抵達時間T1、T2、T3,再將抵達時間T1、T2、T3轉換為量測距離D1、D2、D3。而轉換的方式譬如可分別將此三個抵達時間乘上無線訊號之傳輸速度(光速)得到量測距離D1、D2、D3。最後,再分別以基地台BS1、BS2、BS3為圓心、量測距離D1、D2、D3為半徑,來形成對應於三個基地台BS1、BS2、BS3之三個量測圓C1、C2、C3。較佳地,量測距離D1、D2、D3與量測圓C1、C2、C3可分別先由基地台BS1、BS2、BS3計算而得,再提供給行動裝置。或是基地台BS1、BS2、BS3獲得並計算部分資訊(譬如至少是抵達時間T1、T2、T3),再提供給行動裝置計算其他部分資訊(譬如是至少是量測圓C1、C2、C3)。In step 204, three measurement distances D1, D2, and D3 of the mobile device relative to the three base stations BS1, BS2, and BS3 are obtained, and corresponding to the three measurement distances D1, D2, and D3 are respectively generated. Three measuring circles of three base stations BS1, BS2 and BS3. Specifically, the arrival times T1, T2, and T3 of the wireless signals between the three base stations BS1, BS2, and BS3 and the mobile device can be obtained first, and then the arrival times T1, T2, and T3 are converted into the measurement distance D1. D2, D3. For the conversion method, for example, the three arrival times can be multiplied by the transmission speed (light speed) of the wireless signal to obtain the measurement distances D1, D2, and D3. Finally, the three measuring circles C1, C2 and C3 corresponding to the three base stations BS1, BS2 and BS3 are formed by taking the base stations BS1, BS2 and BS3 as the center and measuring the distances D1, D2 and D3 as the radii respectively. . Preferably, the measurement distances D1, D2, D3 and the measurement circles C1, C2, C3 can be calculated by the base stations BS1, BS2, and BS3, respectively, and then provided to the mobile device. Or the base stations BS1, BS2, BS3 obtain and calculate part of the information (for example, at least the arrival time T1, T2, T3), and then provide the mobile device to calculate other parts of the information (for example, at least the measurement circles C1, C2, C3) .

於步驟206中,量測圓C1、C2、C3中任二量測圓間相交於二交點,且二交點係形成一位置線,據以在三個量測圓C1、C2、C3間產生三條位置線L12、L13、L23。三條位置線L12、L13、L23之資訊可分別由基地台BS1、BS2、BS3計算而得,再提供給行動裝置,或是亦由行動裝置計算。In step 206, any two of the measurement circles C1, C2, and C3 intersect at two intersections, and the two intersections form a position line, thereby generating three lines between the three measurement circles C1, C2, and C3. Position lines L12, L13, L23. The information of the three position lines L12, L13, L23 can be calculated by the base stations BS1, BS2, BS3, respectively, and provided to the mobile device, or calculated by the mobile device.

於步驟208中,於位置線L12、L13、L23與抵達線L1中,其任二者間係相交於一點,據以產生第一位置交點P1、P2、P3及P4,並再依據第一位置交點P1、P2、P3及P4獲得行動裝置之估測位置。較佳地,可透過量測圓C1、C2、C3共同交集的區域來形成一合適區域Zone,並從第一位置交點P1、P2、P3及P4中挑選位於合適區域Zone的交點為第二位置交點P1、P2與P3,以排除較不可能之位置交點,並可透過減少位置交點數量來簡化計算量。接下來,可將第二位置交點P1、P2與P3再代入不同之演算法中,例如一距離權重法、一排序平均法、一排序權重法以及一界限值法等,以計算行動裝置的估測位置。步驟208較佳由行動裝置實施,亦可由基地台實施。In step 208, in the position lines L12, L13, L23 and the arrival line L1, any of the two intersect at a point, thereby generating the first position intersection points P1, P2, P3 and P4, and then according to the first position The intersection points P1, P2, P3 and P4 obtain the estimated position of the mobile device. Preferably, the area where the circles C1, C2, and C3 intersect together is formed to form a suitable area Zone, and the intersection point of the appropriate area Zone is selected from the first position intersection points P1, P2, P3, and P4 to be the second position. The intersection points P1, P2 and P3 are used to exclude the intersection of the less likely position, and the calculation amount can be simplified by reducing the number of intersections of the positions. Next, the second position intersections P1, P2, and P3 can be substituted into different algorithms, such as a distance weighting method, a sorting average method, a sorting weight method, and a threshold value method to calculate the estimation of the mobile device. Measuring position. Step 208 is preferably implemented by a mobile device or by a base station.

值得注意的是,若沒有任何誤差,三條位置線L12、L13、L23與抵達線L1可能交於同一點,此即正確行動台的位置。然而,由於在非視距效應的影響下,第一位置交點會散落於某個範圍,與正確的位置有所誤差。再者,考慮到非視距效應,根據抵達時間並無法測量到直線視距的真正距離,亦即量測距離D1、D2、D3會大於真實距離,因此我們可以預期,真正的行動台位置,會落在這些根據量測距離所形成的量測圓C1、C2、C3的交集區域(亦即合適區域Zone)中。因此,透過從第一位置交點P1、P2、P3及P4中挑選位於合適區域Zone的交點為第二位置交點P1、P2與P3,可以較精確地計算行動裝置之估測位置。It is worth noting that if there is no error, the three position lines L12, L13, L23 and the arrival line L1 may intersect at the same point, which is the position of the correct action station. However, due to the effect of the non-line-of-sight effect, the intersection of the first position will be scattered in a certain range, which is inaccurate with the correct position. Furthermore, considering the non-line-of-sight effect, the true distance of the line-of-sight distance cannot be measured according to the arrival time, that is, the measurement distances D1, D2, and D3 are larger than the true distance, so we can expect the true action table position, It will fall in the intersection area (ie, the appropriate area Zone) of the measurement circles C1, C2, C3 formed by the measurement distance. Therefore, by selecting the intersection point of the appropriate area Zone from the first position intersection points P1, P2, P3, and P4 as the second position intersection points P1, P2, and P3, the estimated position of the mobile device can be calculated more accurately.

綜合上述,根據無線通訊定位流程20,可以獲得三條位置線L12、L13、L23與一抵達線L1等相關資訊,進而估測行動裝置所在位置。此外,於計算的過程中,可更透過合適區域來過濾交點,以進一步增加精確度或簡少計算量。In summary, according to the wireless communication positioning process 20, related information such as three position lines L12, L13, L23 and an arrival line L1 can be obtained, thereby estimating the location of the mobile device. In addition, in the process of calculation, the intersection point can be filtered through a suitable area to further increase the accuracy or reduce the amount of calculation.

進一步,第2圖所示之無線通訊定位流程20之步驟208,根據位置線L12、L13、L23以及抵達線L1,計算行動裝置之估測位置,更可衍生為一距離權重流程30,以繼續代入距離權重法而計算行動裝置之估測位置。如第3圖所示,其顯示依據一實施例之距離權重流程30,包含以下步驟:Further, in step 208 of the wireless communication positioning process 20 shown in FIG. 2, the estimated position of the mobile device is calculated according to the position lines L12, L13, L23 and the arrival line L1, and may be further derived into a distance weighting process 30 to continue. Calculate the estimated position of the mobile device by substituting the distance weight method. As shown in FIG. 3, it shows a distance weighting process 30 according to an embodiment, comprising the following steps:

步驟300:開始。Step 300: Start.

步驟302:依據複數個第二位置交點求得一平均位置。Step 302: Find an average position according to the plurality of second position intersections.

步驟304:依據第二位置交點分別相對平均位置之複數個相對距離而獲得複數個權重值。Step 304: Obtain a plurality of weight values according to a plurality of relative distances of the second position intersection points with respect to the average position.

步驟306:依據複數個權重值以及複數個第二交點位置,計算行動裝置之估測位置。Step 306: Calculate the estimated position of the mobile device according to the plurality of weight values and the plurality of second intersection positions.

步驟308:結束。Step 308: End.

首先,將無線通訊定位流程20中位於合適區域Zone之複數個第二位置交點(於第1A圖之實施例中即為交點P1、P2及P3),代入距離權重流程30。為了方便起見,在此之後係將第二位置交點簡稱為交點;另外,在此之後所用的公式中,代號N代表所有交點之總共數量,而代號i代表所有交點中某一交點,且每一交點皆包含一X軸座標及一Y軸座標。First, a plurality of second position intersections in the wireless communication positioning process 20 located in the appropriate area Zone (in the embodiment of FIG. 1A, the intersection points P1, P2, and P3) are substituted into the distance weighting process 30. For the sake of convenience, the second position intersection is simply referred to as the intersection point after that; in addition, in the formula used thereafter, the code number N represents the total number of all intersection points, and the code i represents an intersection point of all the intersection points, and each An intersection includes an X-axis coordinate and a Y-axis coordinate.

以第1A圖所示之實施例來說明,N=3且複數個交點係表示為P1(X1,Y1)、P2(X2,Y2)、P3(X3,Y3)。於步驟302中,利用公式計算所有交點之X軸座標平均值為,再利用公式計算所有交點之Y軸座標平均值為。於步驟304中,利用公式d i =,1 i N分別計算對應於交點P1、P2、P3之權重值d1、d2、d3。最後,於步驟306中,利用公式,即可分別計算行動裝置之估測位置(Xd,Yd)。In the embodiment shown in Fig. 1A, N = 3 and a plurality of intersections are represented by P1 (X 1 , Y 1 ), P2 (X 2 , Y 2 ), P3 (X 3 , Y 3 ). In step 302, using the formula Calculate the average of the X-axis coordinates of all intersections as , reuse formula Calculate the average of the Y-axis coordinates of all intersections as . In step 304, the formula d i = is used. ,1 i N calculates the weight values d 1 , d 2 , and d 3 corresponding to the intersection points P1, P2, and P3, respectively. Finally, in step 306, the formula is utilized. with , the estimated position (X d , Y d ) of the mobile device can be calculated separately.

更進一步,第2圖所示之無線通訊定位流程20之步驟208,根據位置線L12、L13、L23以及抵達線L1,計算行動裝置之估測位置,更可衍生為一排序平均流程40,以繼續代入排序平均法算行動裝置之估測位置。如第4圖所示,其顯示依據一實施例之排序平均流程40,包含以下步驟:Further, in step 208 of the wireless communication positioning process 20 shown in FIG. 2, the estimated position of the mobile device is calculated according to the position lines L12, L13, and L23 and the arrival line L1, and may be further derived into a sorting average process 40. Continue to substitute for the estimated position of the sorted average calculation mobile device. As shown in FIG. 4, it shows a ranking averaging process 40 according to an embodiment, which includes the following steps:

步驟400:開始。Step 400: Start.

步驟402:依據複數個第二位置交點求得一平均位置。Step 402: Find an average position according to a plurality of second position intersections.

步驟404:依據第二位置交點分別相對平均位置之複數個相對距離而獲得複數個權重值。Step 404: Obtain a plurality of weight values according to a plurality of relative distances of the second position intersection points with respect to the average position.

步驟406:根據一預設數值,選取複數個權重值為複數個排序權重值。Step 406: Select, according to a preset value, a plurality of weight values as a plurality of sort weight values.

步驟408:依據複數個排序權重值對應之複數個第二交點位置,計算行動裝置之估測位置。Step 408: Calculate the estimated position of the mobile device according to the plurality of second intersection positions corresponding to the plurality of ranking weight values.

步驟410:結束。Step 410: End.

值得注意地,排序平均流程40相似於距離權重流程30,即排序平均流程40之步驟402、404和距離權重流程30之步驟302、304相同,因此,排序平均流程40之步驟402、404將沿用距離權重流程30之相關說明,在此不贅述。在步驟406中,將前述N個權重值進行遞增排列,並於N個權重值中挑選前面M個為排序權重值。預設數值M滿足M=0.5*N,而當M不為整數時,可根據不同需求進行調整,例如在此實施例中M=0.5*3=1.5,若採用無條件進位法,係進一步取M值為2。因此,若d1<d2<d3,即挑選d1、d2(M=2)為排序權重值。接著,在步驟408中,根據M個排序權重值對應之M個交點位置,利用公式,即可計算M個交點之平均值作為行動裝置的估測位置(XM,YM)。Notably, the ranking averaging process 40 is similar to the distance weighting process 30, i.e., steps 402, 404 of the ranking averaging process 40 are the same as steps 302, 304 of the distance weighting process 30, and therefore, steps 402, 404 of the ranking averaging process 40 will continue. The description of the distance weighting process 30 will not be repeated here. In step 406, the N weight values are incrementally arranged, and the first M are selected as the sort weight values among the N weight values. The preset value M satisfies M=0.5*N, and when M is not an integer, it can be adjusted according to different requirements. For example, in this embodiment, M=0.5*3=1.5. If the unconditional carry method is adopted, the system further takes M. The value is 2. Therefore, if d 1 <d 2 <d 3 , d 1 and d 2 (M=2) are selected as the sort weight values. Next, in step 408, the formula is used according to the M intersection positions corresponding to the M ranking weight values. with Then, the average of the M intersections can be calculated as the estimated position (X M , Y M ) of the mobile device.

更進一步,如第2圖所示之無線通訊定位流程20之步驟208,根據位置線L12、L13、L23以及抵達線L1、計算行動裝置之估測位置,更可衍生為一排序權重流程50,以繼續代入排序權重法算行動裝置之估測位置。如第5圖所示,其顯示依據一實施例之排序權重流程50,包含以下步驟:Further, step 208 of the wireless communication positioning process 20 shown in FIG. 2 is further derived into a sort weighting process 50 according to the position lines L12, L13, and L23 and the estimated position of the mobile device. The estimated position of the mobile device is calculated by continuing to enter the ranking weighting method. As shown in FIG. 5, it shows a ranking weighting process 50 according to an embodiment, comprising the following steps:

步驟500:開始。Step 500: Start.

步驟502:依據複數個第二位置交點求得一平均位置。Step 502: Determine an average position according to the plurality of second position intersections.

步驟504:依據第二位置交點分別相對平均位置之複數個相對距離而獲得複數個權重值。Step 504: Obtain a plurality of weight values according to a plurality of relative distances of the second position intersection points with respect to the average position.

步驟506:根據一預設數值,選取複數個權重值為複數個排序權重值。Step 506: Select, according to a preset value, a plurality of weight values as a plurality of sort weight values.

步驟508:依據複數個排序權重值及其對應之複數個第二交點位置,計算行動裝置之估測位置。Step 508: Calculate the estimated position of the mobile device according to the plurality of sort weight values and the corresponding plurality of second intersection positions.

步驟510:結束。Step 510: End.

值得注意地,排序權重流程50相似於排序平均流程40,即排序權重流程50之步驟502到步驟506和排序平均流程40之步驟402到步驟406相同,因此,排序權重流程50之步驟502到步驟506將沿用排序平均流程40之相關說明,在此不贅述。在步驟508中,根據M個排序權重值以及其對應之M個交點位置,利用公式,即可計算行動裝置的估測位置(X,Y)。Notably, the ranking weighting process 50 is similar to the ranking averaging process 40, that is, steps 502 through 506 of the sorting weighting process 50 are the same as steps 402 through 406 of the sorting average process 40, and therefore, step 502 to step of the ranking weighting process 50 506 will follow the relevant description of the ranking average process 40, and will not be described here. In step 508, the formula is used according to the M ranking weight values and their corresponding M intersection positions. with , the estimated position (X, Y) of the mobile device can be calculated.

更進一步,圖2所示之無線通訊定位流程20之步驟208,根據位置線L12、L13、L23以及抵達線L1,計算行動裝置之估測位置,更可衍生為一界限值流程60,以繼續代入界限值法算行動裝置之估測位置。如第6圖所示,其顯示依據一實施例之界限值流程60,包含以下步驟:Further, step 208 of the wireless communication positioning process 20 shown in FIG. 2 calculates the estimated position of the mobile device according to the position lines L12, L13, L23 and the arrival line L1, and may be further derived into a threshold value flow 60 to continue. Substitute the limit value method to calculate the estimated position of the mobile device. As shown in FIG. 6, it shows a threshold value flow 60 in accordance with an embodiment, comprising the steps of:

步驟600:開始。Step 600: Start.

步驟602:依據複數個第二位置交點之間之複數個相對距離求得一平均相對距離。Step 602: Determine an average relative distance according to a plurality of relative distances between the intersections of the plurality of second positions.

步驟604:分別將複數個相對距離與平均相對距離相比較以獲得複數個權重值。Step 604: Comparing the plurality of relative distances with the average relative distances respectively to obtain a plurality of weight values.

步驟606:依據複數個權重值以及複數個第二交點位置,計算行動裝置之估測位置。Step 606: Calculate the estimated position of the mobile device according to the plurality of weight values and the plurality of second intersection positions.

步驟608:結束。Step 608: End.

在此實施例中,界限值流程60亦將在無線通訊定位流程20中位於合適區域Zone之複數個第二位置交點納入考量。為了方便起見,界限值流程60亦沿用距離權重流程30之基本假設,即第二位置交點改稱為交點,代號N代表所有交點之總共數量,代號i代表所有交點中任一交點,每一交點皆包含X軸座標及Y軸座標。於步驟602中,先計算N個交點中任二者間的相對距離為dmn,其中代號m與n代表N個交點中任意二點且滿足1≦m,n≦N;進一步,計算N個交點任二者對應之所有相對距離dmn之平均值,用來預設為一距離臨限值Dthr。在步驟604中,先預設複數個權重值Im、In來對應所有相對距離dmn,且複數個權重值之初始值均為零;進一步,比較所有相對距離dmn與距離臨限值Dthr之大小,若任一相對距離dmn小於或等於距離臨限值Dthr,則對應地將相對距離dmn之臨限權重值Im和In之值加1。在步驟606中,根據上述N個交點之座標及其對應之臨限權重值Ii,利用公式,即可分別計算行動裝置之估測位置(Xt,Yt)。In this embodiment, the threshold value process 60 also takes into account a plurality of second location intersections in the appropriate area Zone in the wireless communication location process 20. For convenience, the threshold value flow 60 also follows the basic assumption of the distance weighting process 30, that is, the second position intersection is referred to as the intersection point, the code number N represents the total number of all intersection points, and the code i represents any intersection point of each intersection point, each The intersection points include the X-axis coordinates and the Y-axis coordinates. In step 602, the relative distance between any two of the N intersection points is first calculated as d mn , where the code numbers m and n represent any two points of the N intersection points and satisfy 1≦m, n≦N; further, calculate N The average of all relative distances d mn corresponding to the intersection point is used to preset a distance threshold D thr . In step 604, a plurality of weight values I m , I n are preset to correspond to all relative distances d mn , and initial values of the plurality of weight values are all zero; further, all relative distances d mn and distance thresholds are compared. The magnitude of D thr , if any relative distance d mn is less than or equal to the distance threshold D thr , correspondingly increases the value of the threshold weights I m and I n of the relative distance d mn by one. In step 606, according to the coordinates of the intersection of the N and threshold weights corresponding to the weight value I i, using equation with , the estimated position (X t , Y t ) of the mobile device can be calculated separately.

簡單來說,上述不同實施例將無線通訊定位流程20中位於合適區域Zone之複數個交點(第二位置交點),分別透過距離權重流程30、排序平均流程40、排序權重流程50以及界限值流程60等不同估算流程,用以估測行動裝置的估測位置。因此,本領域具通常知識者可將上述不同估算流程適性地修改/變化/組合,用來代入位於合適區域Zone之複數個交點,或是在計算時間允許下直接使用複數個第一位置交點,皆屬於本發明之範疇。Briefly, the different embodiments described above are a plurality of intersections (second position intersections) in the appropriate area Zone in the wireless communication positioning process 20, respectively, through the distance weighting process 30, the sorting average process 40, the sorting weighting process 50, and the threshold value process. 60 different estimation processes to estimate the estimated position of the mobile device. Therefore, those skilled in the art can adaptively modify/change/combine the different estimation processes to substitute multiple intersections in the appropriate area Zone, or directly use a plurality of first location intersections when the calculation time permits. All belong to the scope of the invention.

再者,為了比較本發明之無線通訊定位流程20和習知技術利用泰勒級數演算法求解複數個圓交點,將代入以下三種不同模擬模型中,用以顯示兩者的差異處。於以下的模擬範例中,三個基地台之座標分別假設為(0,0)、(1732,0)、(866,1500),其中所用之單位均為公尺,且針對不同的模擬模型均進行一萬次的試驗。以下進行不同模擬模型的說明。Furthermore, in order to compare the wireless communication positioning process 20 of the present invention and the conventional technique to solve a plurality of round intersections using the Taylor series algorithm, the following three different simulation models are substituted to show the difference between the two. In the following simulation example, the coordinates of the three base stations are assumed to be (0,0), (1732,0), (866,1500), respectively, and the units used are all meters, and for different simulation models Conducted 10,000 tests. The following describes the different simulation models.

第一種模擬模型為Circular Disk of Scatters Model(CDSM),其散射點的半徑預設為200公尺。在CDSM模型中,行動裝置和複數個基地台之傳輸間存在一個散射點,且散射點位於某一基地台之量測圓內。由於散射點的干擾,複數個基地台所量測的抵達時間和抵達角度均會有所差異。請參考第7圖,第7圖為本發明之一模擬範例與習知技術在CDSM模型中之差異的累積機率分布圖(Cumulative Distribution Function,CDF),其中為了簡潔明示,僅繪示出本發明(線交點)與習知(圓交點)透過距離權重流程30之示意圖,至於其他估算方法亦具有相類似的趨勢,可類推之。如第7圖所示,在相同的機率條件下,可以明顯地看出本發明所得之誤差距離可小於習知技術,也就是本發明之模擬範例可以提供較準確之行動裝置的估測位置。The first simulation model is the Circular Disk of Scatters Model (CDSM), whose radius of scatter points is preset to 200 meters. In the CDSM model, there is a scattering point between the mobile device and the transmission of the plurality of base stations, and the scattering point is located in the measurement circle of a certain base station. Due to the interference of the scattering points, the arrival time and the angle of arrival measured by a plurality of base stations may vary. Please refer to FIG. 7. FIG. 7 is a Cumulative Distribution Function (CDF) of a difference between a simulation example of the present invention and a conventional technique in a CDSM model, wherein only the present invention is illustrated for the sake of brevity and clarity. (Line intersection) and conventional (circle intersection) through the distance weighting process 30 diagram, as for other estimation methods have similar trends, can be analogized. As shown in Fig. 7, under the same probability conditions, it can be clearly seen that the error distance obtained by the present invention can be smaller than the prior art, that is, the simulation example of the present invention can provide a more accurate estimation position of the mobile device.

再參考第8圖,第8圖為本發明之一模擬範例與習知技術在CDSM模型中所需計算時間之示意圖。如第8圖所示,經過一萬次的試驗下,本發明所需的計算時間均短於習知技術(計算時間相比之差值可達三倍),也就是本發明之估測行動裝置之模擬範例的計算時間可以優於習知技術,可有效降低計算過程中的複雜度。Referring again to FIG. 8, FIG. 8 is a schematic diagram showing the calculation time required for a simulation example and a conventional technique in the CDSM model. As shown in Fig. 8, after 10,000 tests, the calculation time required by the present invention is shorter than the conventional technique (the difference in calculation time can be up to three times), that is, the estimated mobile device of the present invention. The calculation time of the simulation example can be better than the conventional technology, which can effectively reduce the complexity in the calculation process.

再參考第9圖,第9圖為本發明之一模擬範例與習知技術在CDSM模型中估測位置均方根比較之示意圖。如第9圖所示,相較於本發明之距離權重流程30(其他流程可類推之,在此不贅述),習知技術(泰勒級數演算法)來估算行動裝置之估測位置,在固定的散射點半徑下,將得到較大的均方根誤差值,即利用習知技術來估測行動裝置將產生較大的誤差值,相對提供較低的準確性。Referring again to FIG. 9, FIG. 9 is a schematic diagram showing the estimated root mean square comparison of a simulation example of the present invention and a conventional technique in a CDSM model. As shown in FIG. 9, compared to the distance weighting process 30 of the present invention (other processes may be analogized, not described herein), the conventional technique (Taylor series algorithm) estimates the estimated position of the mobile device. At a fixed scattering point radius, a larger root mean square error value will be obtained, i.e., using conventional techniques to estimate that the mobile device will produce a larger error value, providing relatively lower accuracy.

再者,第二種模擬模型為距離相依誤差模型,表示於抵達時間量測中,誤差距離和正確距離係為一比例關係,其包含一比例常數,至於抵達角度則假設於正負五度內均勻分布。請參考第10圖,第10圖為本發明與習知技術在距離相依誤差模型中依不同比例常數之示意圖。如第10圖所示,相較於本發明之距離權重流程30,習知技術之泰勒級數演算法在固定的比例常數下,會產生較大的均方根誤差值,即習知技術用來估測行動裝置亦具有較大的誤差值,相對提供較低的準確性。Furthermore, the second simulation model is a distance dependent error model, which indicates that in the arrival time measurement, the error distance and the correct distance are in a proportional relationship, which includes a proportional constant, and the arrival angle is assumed to be uniform within plus or minus five degrees. distributed. Please refer to FIG. 10, which is a schematic diagram showing the different proportional constants in the distance dependent error model according to the present invention and the prior art. As shown in FIG. 10, compared to the distance weighting process 30 of the present invention, the Taylor series algorithm of the prior art generates a large root mean square error value under a fixed proportional constant, that is, the conventional technique. It is estimated that the mobile device also has a large error value, which provides relatively low accuracy.

再參考第11圖,第11圖為本發明之一模擬範例與習知技術在距離相依誤差模型中比例常數為0.13時之累積機率分布圖。如第11圖所示,比較本發明之距離權重流程30與習知技術之泰勒級數演算法,在相同的機率條件下,可明顯地看出本發明所得之誤差距離將小於習知技術,也就是本發明可以提供較準確之行動裝置的估測位置。Referring again to Fig. 11, Fig. 11 is a cumulative probability distribution diagram of a simulation example of the present invention and a conventional technique in which the proportional constant is 0.13 in the distance dependent error model. As shown in FIG. 11, comparing the distance weighting process 30 of the present invention with the Taylor series algorithm of the prior art, it can be clearly seen that under the same probability conditions, the error distance obtained by the present invention will be smaller than the prior art. That is, the present invention can provide an accurate estimation position of the mobile device.

最後,第三種模擬模型為均勻分布模型,表示複數個基地台之抵達時間均勻分布於一固定區間內,至於抵達角度則假設於正負五度內均勻分布。請參考第12圖以及第13圖,第12圖為本發明之模擬範例與習知技術在均勻分布模型中依不同的固定區間上限值之示意圖,而第13圖為本發明之模擬範例與習知技術在均勻分布模型中固定前述之固定區間上限值的累積機率分布圖。類似於第二種模擬模型之分析結果,且如第12圖及第13圖所示,本發明之模擬範例相較於習知技術亦可提供較準確估測行動裝置的估測位置,在此不贅述。Finally, the third simulation model is a uniform distribution model, which means that the arrival times of a plurality of base stations are evenly distributed in a fixed interval, and the arrival angle is assumed to be evenly distributed within plus or minus five degrees. Please refer to FIG. 12 and FIG. 13 . FIG. 12 is a schematic diagram showing the upper limit value of the fixed interval according to the simulation example of the present invention and the prior art in the uniform distribution model, and FIG. 13 is a simulation example of the present invention. The conventional technique fixes the cumulative probability distribution map of the aforementioned fixed interval upper limit value in the uniform distribution model. Similar to the analysis results of the second simulation model, and as shown in FIGS. 12 and 13, the simulation example of the present invention can provide a more accurate estimation of the estimated position of the mobile device than the prior art. Do not repeat them.

綜上,根據三種模擬模型的分析結果,可知本發明之實施例所提出之距離權重法相較於習知技術之泰勒級數演算法,不但可有效降低計算複雜度(即具有較短之運算時間),更可較準確地估測出行動裝置之估測位置(即具有較小之誤差距離);同理,上述分析結果亦可類推於本發明之實施例所提出之排序平均法、排序權重法以及界限值法,以提供不同需求下其他更有效率的估測方法。In summary, according to the analysis results of the three simulation models, it can be seen that the distance weight method proposed by the embodiment of the present invention can effectively reduce the computational complexity (ie, has a shorter operation time than the Taylor series algorithm of the prior art). Moreover, the estimated position of the mobile device can be estimated more accurately (ie, having a smaller error distance); similarly, the above analysis result can also be analogized to the sorting averaging method and the sorting weight proposed by the embodiment of the present invention. Law and threshold method to provide other more efficient estimation methods for different needs.

值得注意的,請再參考第1B圖,上述之實施例所述之流程可類推至應用於七個基地台BS1~BS7所構成之另一無線通訊定位系統12。更具體而言,可量測到七個基地台BS1~BS7分別所對應之七個抵達時間,用以求得七個量測距離以及七個量測圓。在此情況下,七個量測圓至多可產生二十一條位置線。此外,可獲得基地台BS1~BS7當中一者相對應之抵達角度與抵達線。最後,根據基地台BS1~BS7所產生之複數條位置線以及抵達線,並加入一合適區域的限制條件,即可估測行動裝置之估測位置。此合適區域同樣可選擇為七個量測圓共同交集的區域。若七個量測圓無法同時交集於一區域內,則可選擇最多的量測圓所交集的區域作為合適區域。更多詳細步驟可參考前述之無線通訊定位系統10、無線通訊定位流程20以及其相關的計算流程,在此不贅述。It should be noted that, referring to FIG. 1B, the process described in the foregoing embodiment can be analogized to another wireless communication positioning system 12 formed by seven base stations BS1 to BS7. More specifically, the seven arrival times corresponding to the seven base stations BS1 to BS7 can be measured to obtain seven measurement distances and seven measurement circles. In this case, the seven measurement circles can produce up to twenty position lines. In addition, an arrival angle and an arrival line corresponding to one of the base stations BS1 to BS7 can be obtained. Finally, based on the plurality of position lines and arrival lines generated by the base stations BS1~BS7, and adding a suitable area restriction condition, the estimated position of the mobile device can be estimated. This suitable area can also be selected as the area where the seven measurement circles intersect. If the seven measurement circles cannot be overlapped in one area at the same time, the area where the most measurement circles intersect can be selected as the appropriate area. For more detailed steps, reference may be made to the foregoing wireless communication positioning system 10, the wireless communication positioning process 20, and related calculation processes, which are not described herein.

值得注意地,請再參考第1A圖(三個基地台)以及第1B圖(七個基地台),來瞭解不同數目的基地台的無線通訊系統中,估測行動裝置之估測位置的差異性。於三個基地台的條件下,使用解圓交點可提供較佳的估測精準度,然而計算所需的複雜度相對可能較高。另一方面,若是使用複數條位置線時,雖然提供的估測精準度可能略差,但是可大幅降低計算的複雜度。另外,於七個基地台的條件下,使用解圓交點來計算所需的複雜度亦相對較高,雖然可使用較少的交點數,但是對應得到的估測精準度較差。然而,若是使用複數條位置線時,同樣具有較低的計算複雜度,雖然必須使用較多的交點數,但是透過合適區域(好比七圓交集的區域)來有效地篩選後,反而可得到較佳的估測精準度。考慮到上述差異,可以在不同的條件及使用者需求下,根據基地台之數目,彈性地使用解圓焦點或是複數條位置線之不同方案,並搭配合適區域之選用,亦或組合/變化上述所有條件,以提供較佳的估算精確度以及較低的計算複雜度,皆屬於本發明之範疇。Notably, please refer to Figure 1A (three base stations) and Figure 1B (seven base stations) to understand the difference in estimated locations of mobile devices in different wireless communication systems. Sex. Under the conditions of three base stations, the use of the intersection point provides better estimation accuracy, but the complexity required for calculation is relatively high. On the other hand, if a plurality of position lines are used, although the estimation accuracy provided may be slightly worse, the computational complexity may be greatly reduced. In addition, under the conditions of seven base stations, the complexity required to calculate the intersection point is relatively high. Although fewer intersection points can be used, the corresponding estimation accuracy is poor. However, if multiple position lines are used, they also have lower computational complexity. Although more intersection numbers must be used, they can be effectively filtered through suitable regions (such as the intersection of seven circles). Good estimate accuracy. Taking into account the above differences, different solutions can be used flexibly depending on the number of base stations, depending on the number of base stations, and different options for the rounded focus or multiple position lines, combined with the selection of suitable areas, or combinations/changes All of the above conditions to provide better estimation accuracy and lower computational complexity are within the scope of the present invention.

總而言之,上述實施例所提供之用於一無線通訊定位系統的無線通訊定位方法,藉由複數個基地台提供複數條位置線以及一抵達線,將上述條件交集下的複數個交點代入一距離權重法、一排序平均法、一排序權重法以及一界限值法,可計算行動裝置的估測位置。此外,可更透過合適區域來過濾交點,以進一步排除較不可能之位置交點以增加精確度或簡少計算量。因此,相較於習知技術中透過泰勒級數演算法來求解圓交點之方式而具有較複雜的計算方程式或較冗長的計算時間,上述實施例可有效地化簡計算的複雜度,提供較精準之誤差距離,並節省運算所需的硬體資源和時間。In summary, the wireless communication positioning method for a wireless communication positioning system provided by the above embodiment provides a plurality of distance points under the conditional intersection and a distance weight by a plurality of base stations providing a plurality of position lines and an arrival line. The method, a sorting averaging method, a sorting weighting method, and a threshold value method can calculate the estimated position of the mobile device. In addition, the intersections can be filtered through the appropriate areas to further eliminate the less likely intersections to increase accuracy or reduce the amount of calculation. Therefore, the above embodiment can effectively simplify the computational complexity and provide a comparison compared with the conventional method in which the Taylor series algorithm is used to solve the round intersection point to have a more complicated calculation equation or a more verbose calculation time. Accurate error distance and save hardware resources and time required for computing.

以上所述僅為本發明之較佳實施例,凡依本發明申請專利範圍所做之均等變化與修飾,皆應屬本發明之涵蓋範圍。The above are only the preferred embodiments of the present invention, and all changes and modifications made to the scope of the present invention should be within the scope of the present invention.

10、12...無線通訊定位系統10, 12. . . Wireless communication positioning system

20...無線通訊定位流程20. . . Wireless communication positioning process

200、202、204、206、208、210、300、302、304、306、308、400、402、404、406、408、410、500、502、504、506、508、510、600、602、604、606、608、610...步驟200, 202, 204, 206, 208, 210, 300, 302, 304, 306, 308, 400, 402, 404, 406, 408, 410, 500, 502, 504, 506, 508, 510, 600, 602, 604, 606, 608, 610. . . step

30...距離權重流程30. . . Distance weighting process

40...排序平均流程40. . . Sort average process

50...排序權重流程50. . . Sort weight process

60...界限值流程60. . . Limit value process

BS1~BS7...基地台BS1~BS7. . . Base station

C1、C2、C3...量測圓C1, C2, C3. . . Measuring circle

D1、D2、D3...量測距離D1, D2, D3. . . Measuring distance

L1...抵達線L1. . . Arrival line

L12、L13、L23...位置線L12, L13, L23. . . Position line

P1、P2、P3及P4...交點P1, P2, P3 and P4. . . Intersection

Zone...合適區域Zone. . . Suitable area

第1A圖為本發明實施例一無線通訊定位系統之示意圖。FIG. 1A is a schematic diagram of a wireless communication positioning system according to an embodiment of the present invention.

第1B圖為本發明實施例另一無線通訊定位系統之示意圖。FIG. 1B is a schematic diagram of another wireless communication positioning system according to an embodiment of the present invention.

第2圖為本發明實施例一無線通訊定位方法之流程示意圖。FIG. 2 is a schematic flowchart diagram of a wireless communication positioning method according to an embodiment of the present invention.

第3圖為本發明實施例一距離權重方法之流程示意圖。FIG. 3 is a schematic flow chart of a distance weighting method according to an embodiment of the present invention.

第4圖為本發明實施例一排序平均方法之流程示意圖。FIG. 4 is a schematic flow chart of a sorting average method according to an embodiment of the present invention.

第5圖為本發明實施例一排序權重方法之流程示意圖。FIG. 5 is a schematic flow chart of a sort weight method according to an embodiment of the present invention.

第6圖為本發明實施例一界限值方法之流程示意圖。FIG. 6 is a schematic flow chart of a threshold value method according to an embodiment of the present invention.

第7圖為本發明之模擬範例與習知技術在CDSM模型中之差異的累積機率分布圖。Fig. 7 is a cumulative probability distribution diagram of the difference between the simulation example of the present invention and the conventional technique in the CDSM model.

第8圖為本發明之模擬範例與習知技術在CDSM模型中所需計算時間之示意圖。Figure 8 is a schematic diagram of the simulation time required for the simulation example and the prior art of the present invention in the CDSM model.

第9圖為本發明之模擬範例與習知技術在CDSM模型中估測位置均方根比較之示意圖。Figure 9 is a schematic diagram showing the estimated root mean square comparison of the simulation example of the present invention and the conventional technique in the CDSM model.

第10圖為本發明之模擬範例與習知技術在距離相依誤差模型中依不同比例常數之示意圖。Figure 10 is a schematic diagram showing the different proportional constants in the distance dependent error model of the simulation example and the prior art of the present invention.

第11圖為本發明之模擬範例與習知技術在距離相依誤差模型中比例常數為0.13時之累積機率分布圖。Figure 11 is a cumulative probability distribution diagram of the simulation example of the present invention and the prior art in the distance dependent error model with a proportionality constant of 0.13.

第12圖為本發明之模擬範例與習知技術在均勻分布模型中依不同的固定區間上限值之示意圖。Figure 12 is a schematic diagram showing the upper limit values of the fixed intervals of the simulation example of the present invention and the conventional techniques in the uniform distribution model.

第13圖為本發明之模擬範例與習知技術在均勻分布模型中固定前述之固定區間上限值的累積機率分布圖。Fig. 13 is a cumulative probability distribution diagram in which the above-described fixed interval upper limit value is fixed in the uniform distribution model by the simulation example of the present invention and the prior art.

20...無線通訊定位流程20. . . Wireless communication positioning process

200、202、204、206、208、210...步驟200, 202, 204, 206, 208, 210. . . step

Claims (18)

一種無線通訊定位方法,用來獲得一行動裝置之一估測位置,該無線通訊定位方法包含有:獲得該行動裝置相對於複數個基地台當中之一基地台之一抵達角度(angle of arrival),並獲得從該基地台沿該抵達角度延伸之一抵達線;獲得該行動裝置分別相對該複數個基地台之複數個量測距離,並獲得該複數個量測距離分別對應之複數個量測圓;根據該複數個量測圓,產生複數條位置線;以及根據該複數條位置線以及該抵達線,計算該行動裝置之該估測位置。A wireless communication positioning method for obtaining an estimated position of a mobile device, the wireless communication positioning method comprising: obtaining an angle of arrival of the mobile device relative to one of a plurality of base stations Obtaining an arrival line extending from the base station along the angle of arrival; obtaining a plurality of measurement distances of the mobile device relative to the plurality of base stations, and obtaining a plurality of measurements corresponding to the plurality of measurement distances respectively a circle; generating a plurality of position lines based on the plurality of measurement circles; and calculating the estimated position of the mobile device based on the plurality of position lines and the arrival line. 如請求項1所述之無線通訊定位方法,其中根據該複數個量測圓,產生該複數條位置線之步驟,包含有:將該複數個量測圓中任二量測圓間之二交點連接成線,以產生該複數條位置線。The wireless communication positioning method of claim 1, wherein the step of generating the plurality of position lines according to the plurality of measurement circles comprises: dividing two intersections between any two of the plurality of measurement circles Connected into a line to produce the plurality of position lines. 如請求項1所述之無線通訊定位方法,其中根據該複數條位置線以及該抵達線,計算該行動裝置之該估測位置之步驟,包含有:依據該抵達線及該複數條位置線,產生複數個第一位置交點;以及依據該複數個第一位置交點,計算出該行動裝置之該估測位置。The wireless communication positioning method of claim 1, wherein the calculating the estimated position of the mobile device according to the plurality of position lines and the arrival line comprises: according to the arrival line and the plurality of position lines, Generating a plurality of first location intersections; and calculating the estimated location of the mobile device based on the plurality of first location intersections. 如請求項3所述之無線通訊定位方法,其中依據該複數個第一位置交點,計算出該行動裝置之該估測位置之步驟係包括:根據該複數個量測圓共同交集區域,產生一合適區域;從該複數個第一位置交點中,挑選位於該合適區域內者,作為複數個第二位置交點;以及依據該複數個第二位置交點,計算出該行動裝置之該估測位置。The wireless communication positioning method of claim 3, wherein the calculating the estimated position of the mobile device according to the plurality of first position intersections comprises: generating a common intersection area according to the plurality of measurement points, generating a a suitable area; selecting, from the plurality of first location intersections, the plurality of second location intersections; and calculating the estimated location of the mobile device based on the plurality of second location intersections. 如請求項4所述之無線通訊定位方法,其中依據該複數個第二位置交點,計算出該行動裝置之該估測位置係依據一距離權重法、一排序平均法、一排序權重法與一界限值法當中之一者來實施。The wireless communication positioning method according to claim 4, wherein the estimated position of the mobile device is calculated according to a distance weight method, a sorting average method, a sorting weight method, and a method according to the plurality of second position intersection points. One of the threshold methods is implemented. 如請求項4所述之無線通訊定位方法,其中依據該複數個第二位置交點,計算出該行動裝置之該估測位置係包括:依據該複數個第二位置交點求得一平均位置;依據該第二位置交點分別相對該平均位置之複數個相對距離而獲得複數個權重值;以及依據該複數個權重值以及該複數個第二交點位置,計算該行動裝置之該位置。The wireless communication positioning method of claim 4, wherein calculating the estimated location of the mobile device according to the plurality of second location intersections comprises: obtaining an average location according to the plurality of second location intersections; The second position intersection points respectively obtain a plurality of weight values with respect to the plurality of relative distances of the average position; and calculating the position of the mobile device according to the plurality of weight values and the plurality of second intersection positions. 如請求項4所述之無線通訊定位方法,其中依據該複數個第二位置交點,計算出該行動裝置之該估測位置係包括:依據該複數個第二位置交點之間之複數個相對距離求得一平均相對距離;分別將該複數個相對距離與該平均相對距離相比較以獲得複數個權重值;以及依據該複數個權重值以及該複數個第二交點位置,計算該行動裝置之該位置。The wireless communication positioning method of claim 4, wherein calculating the estimated position of the mobile device according to the plurality of second position intersections comprises: a plurality of relative distances between the intersections of the plurality of second positions Obtaining an average relative distance; respectively comparing the plurality of relative distances with the average relative distance to obtain a plurality of weight values; and calculating the mobile device according to the plurality of weight values and the plurality of second intersection positions position. 如請求項1所述之無線通訊定位方法,其中該抵達線係從該複數個基地台中之該基地台以該抵達角度延伸而得。The wireless communication positioning method of claim 1, wherein the arrival line is derived from the base station of the plurality of base stations at the angle of arrival. 如請求項1所述之無線通訊定位方法,其中獲得該行動裝置分別相對該複數個基地台間之複數個量測距離之步驟,包含有:分別獲得該複數個基地台與該行動裝置之間之複數個抵達時間;以及根據該複數個抵達時間,分別產生對應該複數個基地台之複數個量測距離。The wireless communication positioning method of claim 1, wherein the step of obtaining a plurality of measurement distances between the mobile device and the plurality of base stations comprises: obtaining respectively between the plurality of base stations and the mobile device a plurality of arrival times; and a plurality of measurement distances corresponding to the plurality of base stations are respectively generated according to the plurality of arrival times. 如請求項1所述之無線通訊定位方法,其中該複數個基地台係為三個基地台,其對應產生三個抵達時間、三個量測圓以及三條位置線。The wireless communication positioning method according to claim 1, wherein the plurality of base stations are three base stations, which correspondingly generate three arrival times, three measurement circles, and three position lines. 如請求項1所述之無線通訊定位方法,其中該複數個基地台係為七個基地台,對應產生七個抵達時間、七個量測圓以及二十一條位置線。The wireless communication positioning method according to claim 1, wherein the plurality of base stations are seven base stations, corresponding to generating seven arrival times, seven measurement circles, and twenty one position lines. 如請求項1所述之無線通訊定位方法,其中該複數個基地台當中之該基地台係離該行動裝置最近之基地台。The wireless communication positioning method according to claim 1, wherein the base station among the plurality of base stations is the base station closest to the mobile device. 如請求項4所述之無線通訊定位方法,其中根據該複數個量測圓共同交集區域,產生該合適區域之步驟,包含有:若該複數個量測圓無法同時交集於一區域內,選擇最多的量測圓所交集的區域作為該合適區域。The wireless communication positioning method according to claim 4, wherein the step of generating the suitable area according to the plurality of measurement circle common intersection regions comprises: if the plurality of measurement circles cannot simultaneously intersect in an area, selecting The area where the largest measurement circle intersects is taken as the suitable area. 一種無線通訊定位方法,用來獲得一行動裝置之一估測位置,該無線通訊定位方法包含有:獲得一抵達線,該抵達線延伸通過複數個基地台當中之一基地台與該行動裝置;獲得該複數個基地台分別對應之複數個量測圓,其中該量測圓係依據該行動裝置分別相對該複數個基地台之複數個量測距離所產生;根據該複數個量測圓,產生複數條位置線;以及根據該複數條位置線以及該抵達線,計算該行動裝置之該估測位置。A wireless communication positioning method for obtaining an estimated position of a mobile device, the wireless communication positioning method comprising: obtaining an arrival line, the arrival line extending through one of a plurality of base stations and the mobile device; Obtaining a plurality of measurement circles respectively corresponding to the plurality of base stations, wherein the measurement circle is generated according to a plurality of measurement distances of the mobile device relative to the plurality of base stations; and generating, according to the plurality of measurement circles, generating a plurality of position lines; and calculating the estimated position of the mobile device based on the plurality of position lines and the arrival line. 如請求項14所述之無線通訊定位方法,其中根據該複數個量測圓,產生該複數條位置線之步驟,包含有:將該複數個量測圓中任二量測圓間之二交點連接成線,以產生該複數條位置線。The wireless communication positioning method of claim 14, wherein the step of generating the plurality of position lines according to the plurality of measurement circles comprises: dividing two intersections between any two of the plurality of measurement circles Connected into a line to produce the plurality of position lines. 如請求項14所述之無線通訊定位方法,其中根據該複數條位置線以及該抵達線,計算該行動裝置之該估測位置之步驟,包含有:依據該抵達線及該複數條位置線,產生複數個第一位置交點;以及依據該複數個第一位置交點,計算出該行動裝置之該估測位置。The wireless communication positioning method of claim 14, wherein the calculating the estimated position of the mobile device according to the plurality of position lines and the arrival line comprises: according to the arrival line and the plurality of position lines, Generating a plurality of first location intersections; and calculating the estimated location of the mobile device based on the plurality of first location intersections. 如請求項16所述之無線通訊定位方法,其中依據該複數個第一位置交點,計算出該行動裝置之該估測位置之步驟係包括:根據該複數個量測圓共同交集區域,產生一合適區域;從該複數個第一位置交點中,挑選位於該合適區域內者,作為複數個第二位置交點;以及依據該複數個第二位置交點,計算出該行動裝置之該估測位置。The wireless communication positioning method of claim 16, wherein the calculating the estimated position of the mobile device according to the plurality of first position intersections comprises: generating a common intersection area according to the plurality of measurement points, generating a a suitable area; selecting, from the plurality of first location intersections, the plurality of second location intersections; and calculating the estimated location of the mobile device based on the plurality of second location intersections. 如請求項14所述之無線通訊定位方法,其中該複數個基地台當中之該基地台係離該行動裝置最近之基地台。The wireless communication positioning method of claim 14, wherein the base station of the plurality of base stations is the base station closest to the mobile device.
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